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The title of the fourth grade Olympic mathematics competition
I. Calculation questions (4 points)

1、 1 1×40+39×48+8× 1 1 =

2、 1996+ 1997+ 1998+ 1999+2000+200 1+2002+2003+2004=

Two. Fill in the blanks (27 points)

1, find a regular number: 212619 24 () ()15 20

2. The difference between the largest five-digit number and the smallest five-digit number consisting of five numbers from 0 to 4 is ().

3. The four numbers of 0, 5, 8 and 7 can form () different four digits.

Xiaoming goes to bed at 9: 30 every night and gets up at 6: 30 in the morning, so his sleep time is () hours.

5. Party A, Party B and Party C stand in a row to take photos, and there is a () arrangement.

6. From midnight to noon 12, the hour hand and the minute hand overlap () times.

7. A long-distance race is going on on the circular sports field. There are seven people running in front of each runner and seven people running behind each runner. There are () athletes on the playground now.

8, a piece of tofu, if you want to cut into eight pieces, at least () knife can be completed.

9. Mom bakes cakes in a pan. Only two cakes can be put in this pot at a time. 1 The cake needs to be baked on both sides, it takes 3 minutes to make one side, and it takes at least () minutes to make three cakes.

Third, multiple-choice questions (2 1 point)

1. Square flower beds should be built in the park, and lawns with a width of 2 meters should be paved around the flower beds. The lawn area is 96 square meters, and the total area of flower beds and lawns is () square meters.

(A)204(B) 190(C) 196(D) 100

Xiaoming walked 50 meters per minute, and Xiaohong walked 60 meters per minute. They started from two villages 660 meters apart and set off along a road. Eight minutes later, they are () meters apart.

75(B)200(C)220(D) 1 10

3. The circumference of the picture on the right is () decimeter. 4 decimeters

5 decimeters

22 (B)20 (C) 18 (D)28

The thickness of 4.500 blank sheets is 50 mm, so the thickness of () blank sheets is 750 mm .. 1250.

5. The average weight of six boys is 40 kg, and that of m-girls is 30 kg. The average weight of this 10 student is () kg. a、35 B、38 C、36

6. A kind of mineral water in Bai Le supermarket, 5 yuan bought 4 bottles and 5 yuan sold 3 bottles. To make a profit of 100 yuan, you need to sell () bottles. a、 100 B、240 C、260

7. Cut a rectangular piece of paper with a length of 20 decimeters and a width of 15 decimeters into a square with a side length of 2 decimeters, and at most () pieces can be cut out. a、75 B、70 C、 150 D、35

Four, answer (48 points, you can choose four questions to do, write the answer steps)

1. Xiaoming walked into the classroom and saw 36 people. Xiaohua also walked into the classroom and saw 37 people. How many people are there in the classroom now?

2. A piece of wood is 24 centimetres long. It takes 3 minutes to saw it into a 4-meter-long stick. After a period of sawing, you need to rest for 2 minutes. How many minutes will it take to saw it all?

Xiaoming has a deposit in 50 yuan, Xiaohua has a deposit in 30 yuan, and Xiaohua wants to catch up with Xiaoming. Xiaoming deposits in 5 yuan and Xiaohua deposits in 9 yuan every month. Can he catch up with Xiao Ming in a few months?

A snail wants to climb out of the dry well to see how big the sky is. It climbs 3 meters every day and goes down 2 meters at night. I didn't climb to the wellhead until the eighth day. How deep is this dry well? ?

Li Shifu goes to work by bus and walks home after work. It took 90 minutes on the way. It takes only 40 minutes to go back and forth by car; At this rate, how long will it take him to walk back and forth?

6. Party A and Party B have the same starting place and direction, with Party A walking 6 kilometers per hour and Party B walking 4 kilometers per hour. B walked for two hours before A started walking. How many hours will it take A to catch up with B?

7. The kindergarten teacher gave the children apples, five each, five each, seven each, seven each. How many children are there in the kindergarten? How many apples?

Five, expand the problem (***20 points, you can choose two questions to do)

8. Uncle Chen goes to work from home. If he walks 60 meters per minute, he will be two minutes late. If you walk 80 meters per minute, you can arrive three minutes earlier. If you ride a bike every minute150m, how many minutes does it take from home to work?

9. There are 20 1 street lamps on a street, and there are 50 new street lamps at a distance of 50m between two adjacent street lamps. What is the distance between two adjacent street lamps?

10, two oil tanks, A and B. If the oil is drained 5 kg per minute, the oil tank A will drain for 52 minutes and the oil tank B will drain for 36 minutes. If oil is filled from tank A to tank B, how many minutes will it take for the two tanks to be equal?

2005 decimal Olympic low-level group examination questions and reference answers.

I. Calculation questions (4 points)

1、 1 1×40+39×48+8× 1 1 =48×(39+ 1 1)=2400

2、 1996+ 1997+ 1998+ 1999+2000+200 1+2002+2003+2004= 18000

Two. Fill in the blanks (27 points)

1, find a regular number: 212619 24 (17) (22)15 20.

2. The difference between the largest five-digit number and the smallest five-digit number consisting of five digits from 0 to 4 is (32976).

3. The four numbers of 0, 5, 8 and 7 can form (18) different four digits.

Xiaoming goes to bed at 9: 30 every night and gets up at 6: 30 in the morning, so his sleep time is nine hours.

5. Party A, Party B and Party C stand in a row to take photos, and there are (6) arrangements.

6. From midnight to noon 12, the hour hand and the minute hand * * * coincide (12) times.

7. A long-distance race is going on on the circular sports field. There are seven people running in front of each runner and seven people running behind each runner. There are eight athletes on the playground now.

8. A piece of tofu can be cut into eight pieces with at least (3).

9. Mom bakes cakes in a pan. This pot can only hold two cakes at a time, 1 cake needs to be baked on both sides, one side needs to be cooked for 3 minutes, and three cakes need at least (12) minutes.

Third, multiple-choice questions (2 1 point)

1. Square flower beds should be built in the park, and lawns with a width of 2 meters should be paved around the flower beds. The lawn area is 96 square meters, and the total area of flower beds and lawns is (c) square meters.

(A)204(B) 190(C) 196(D) 100

Xiaoming walks 50 meters per minute and Xiaohong walks 60 meters per minute.

The two men stood face to face on the same road. They came from two villages 660 meters apart.

After 8 minutes, the distance between them is (c) meters.

75 (b) 200 (c) 220 (d)1104 decimeter

5 decimeters

3. The circumference of the picture on the right is (c) decimeter.

22(B)20(C) 18(D)28

The thickness of 4.500 blank plates is 50 mm, so the thickness of (c) blank plates is 750 mm .. 1250.

5. The average weight of six boys is 40kg, and that of m-girls is 30kg. The average weight of this 10 student is (c) kg.

a、35 B、38 C、36

6. Bai Le supermarket mineral water, 5 yuan money to buy 4 bottles, 5 yuan money to sell 3 bottles. To make a profit of 65,438+000 yuan, you need to sell (B) bottles.

a、 100 B、240 C、260

7. Cut a rectangular piece of paper with a length of 20 decimeters and a width of 15 decimeters into a square with a side length of 2 decimeters, and at most (b) pieces can be cut.

a、75 B、70 C、 150 D、35

Four, solve the problem (48 points, write the answer steps)

There are 438+0,3 164 people in grade 65, and 28 people participate in art interest groups. The number of people participating in the music group is twice that of the art group, and the number of people participating in the sports interest group is twice that of the musicology group. If everyone can participate in at least one interest group and at most two interest group activities, how many people will participate in both?

Solution: There are 28 people in the art interest group, 56 people in the music group and 1 12 people in the sports interest group. If they all participate in only one event, the total number of the three groups should be exactly 164, and now the actual total number of the three groups is 28+56+ 1 12.

Xiaoming walked into the classroom and saw 36 people. Xiaohua also walked into the classroom and saw 37 people. How many people are there in the classroom now?

Solution: Xiaohua also walked into the classroom and saw 37 people in the classroom, plus himself. There are 38 people in the classroom now.

A piece of wood is 24 decimeters long. It takes 3 minutes to saw it into a 4-meter-long stick. After a period of sawing, you need to rest for 2 minutes. How many minutes will it take to saw it all?

Solution 1: A piece of wood is 24 decimeters long. If you want to saw a 4-centimeter-long stick, you can saw it into 6 sections and saw it 5 times. It takes 3 minutes to saw once, 2 minutes to rest after sawing one section, 20 minutes to rest after sawing four sections of continuous saw tape, 3 minutes to saw the last section, and 23 minutes to saw all six sections.

Option 2: A piece of wood is 24 decimeters long, and it should be sawed into a stick with a length of 4 decimeters, which can be sawed into 6 sections and sawed 5 times. It takes 5 minutes each time to get a continuous sawing belt, but the last sawing only takes 3 minutes without rest, so it takes 5× 5-2 = 23 minutes to finish sawing.

Xiaoming has a deposit in 50 yuan, Xiaohua has a deposit in 30 yuan, and Xiaohua wants to catch up with Xiaoming. Xiaoming deposits in 5 yuan and Xiaohua deposits in 9 yuan every month. Can he catch up with Xiao Ming in a few months?

Solution: Xiaohua saves more money in 4 yuan than Xiaoming every month. Every month, Xiaoming's deposit gap in Oubana will reduce 4 yuan. Xiaohua's original deposit is less than Xiaoming's by 20 yuan, with a gap of 20 yuan. So after 20÷4=5 and 5 months, he can catch up with Xiao Ming.

A snail wants to climb out of the dry well to see how big the sky is. It climbs 3 meters every day and goes down 2 meters at night. I didn't climb to the wellhead until the eighth day. How deep is this dry well? ?

Solution: On the eighth day, I climbed 3 meters to the wellhead, indicating that the actual location I reached seven days ago was 3 meters away from the wellhead. In the first seven days, I actually climbed only 1 meter every day, and on the seventh day, I climbed 7 meters, so the dry well was 10 meter deep.

Li Shifu goes to work by bus and walks home after work. It took 90 minutes on the way. It takes only 40 minutes to go back and forth by car; At this rate, how long will it take him to walk back and forth?

Solution: 20 minutes by car to work and 70 minutes by walk home from work. If he walks back and forth, it takes 140 minutes.

7. The starting place and direction of Party A and Party B are the same, with Party A walking 6 kilometers per hour and Party B walking 4 kilometers per hour. B walked for two hours before A started walking. How many hours will it take A to catch up with B?

Solution: After walking for 2 hours, B walked for 8 kilometers, and A began to walk. A caught up with B 1 hour and could catch up with 2 kilometers. It turned out that the gap was 8 kilometers and it took 4 hours to catch up.

8. The kindergarten teacher gave the children apples, five per person, five per person, seven per person, seven per person. How many children are there in the kindergarten? How many apples?

Solution: According to the meaning, the number of apples is not only a multiple of 5, but also a multiple of 7. The number of apples may be 35,70, 105, etc. But at the same time, the number of apples less than 5 is also a multiple of 5, and the number of apples greater than 7 is also a multiple of 7, and these two multiples are the same, that is, the number of children. Only 35 can meet this condition, so there are 6 children and 35 apples in the kindergarten.

Five, expand the problem (***20 points, you can choose two questions to do)

9. Uncle Chen goes to work from home. If he walks 60 meters per minute, he will be two minutes late. If you walk 80 meters per minute, you can arrive three minutes earlier. If you ride a bike every minute150m, how many minutes does it take from home to work?

Solution: If you walk 60 meters per minute, Uncle Chen will not be able to walk to the company during working hours, and it is still 60×2= 120 meters away from the company. Walk 80 meters per minute, and if you go straight after going to work, Uncle Chen will continue to walk, walking 80×3=240 meters more. Therefore, if you walk every minute during office hours, you will walk 80-60=20 meters per minute, and if you walk 360 meters more, it will take 360÷20= 18 minutes. The distance from home to work is 80× (18-3) = 1200m. If you ride a bike every minute 150 meters, it takes 1200÷ 150=8 minutes from home to work. List the formulas: (60×2+80×3)÷(80-60)= 18 minutes, 80× (18-3) = 1200m,1200 ÷.

10. There are 20/kloc-0 street lamps on a street, and the distance between two adjacent street lamps is 50 meters; There are 50 new street lamps now. What is the distance between two adjacent street lamps?

Solution: The street length is 50× (201-1) =10000m. Now there are 50 new street lamps, with 25 1 lamp, all of which are divided into 250 sections.

The distance between two adjacent street lamps is10000 ÷ (251-1) = 40m.

1 1, two oil tanks, A and B, if 5 kg of oil is drained every minute, oil tank A will be drained in 52 minutes, and oil tank B will be drained in 36 minutes. If oil is filled from tank A to tank B, how many minutes will it take for the two tanks to be equal? Solution 1: a can of oil: 5×52 = 260kg;; B canned oil: 5× 36 =180 kg; When two cans of oil are equal, there is oil; (260+ 180) ÷ 2 = 220kg。 It takes 40 ÷ 5 = 8min for tank A to inject 260-220 = 40kg of oil into tank B, and the amount of oil in the two tanks is equal.

Scheme 2: Because the oil discharge speed is the same, it takes 52-36= 16 minutes for the oil that is more than that in tank B. If this oil is injected from tank A to half of tank B, the two tanks will be equal.

Need 16÷2=8 minutes.